Some new inequalities for the Hadamard product of M-matricesReport as inadecuate




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Journal of Inequalities and Applications

, 2013:581

First Online: 11 December 2013Received: 13 July 2013Accepted: 20 November 2013

Abstract

If A and B are n × n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ B ∘ A − 1 for the Hadamard product of B and A − 1 is derived. As a consequence, a new lower bound for the minimum eigenvalue τ A ∘ A − 1 for the Hadamard product of A and its inverse A − 1 is given. Theoretical results and an example demonstrate that the new bounds are better than some existing ones.

MSC: 15A06, 15A18, 15A48.

KeywordsM-matrix lower bounds Hadamard product minimum eigenvalue  Download fulltext PDF



Author: Fu-bin Chen

Source: https://link.springer.com/



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